Search a number
-
+
14220347544 = 233213176011487
BaseRepresentation
bin11010011111001100…
…10100100010011000
31100201001002111120200
431033212110202120
5213110402110134
610311023222200
71012251650124
oct151746244230
940631074520
1014220347544
116038019647
12290a447960
13145816b840
1498c874584
1558365b499
hex34f994898

14220347544 has 192 divisors, whose sum is σ = 44018432640. Its totient is φ = 4108492800.

The previous prime is 14220347507. The next prime is 14220347573. The reversal of 14220347544 is 44574302241.

14220347544 is a `hidden beast` number, since 142 + 2 + 0 + 3 + 475 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14220347499 and 14220347508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9562369 + ... + 9563855.

It is an arithmetic number, because the mean of its divisors is an integer number (229262670).

Almost surely, 214220347544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14220347544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009216320).

14220347544 is an abundant number, since it is smaller than the sum of its proper divisors (29798085096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14220347544 is a wasteful number, since it uses less digits than its factorization.

14220347544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 14220347544 its reverse (44574302241), we get a palindrome (58794649785).

The spelling of 14220347544 in words is "fourteen billion, two hundred twenty million, three hundred forty-seven thousand, five hundred forty-four".